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3 years ago

Please help me with this. 20 points.

Mathematics

2 answers:

antoniya [11.8K]3 years ago

8 0

Answer:

A, C

Step-by-step explanation:

The domain is the set of all possible x-values that will make the function work.

Here, m is the x-value (the independent variable).

The month number m is an integer, so the appropriate number type for the domain of r is integer.

The month numbers run from 1 to 12, inclusive, so the appropriate domain is 1 ≤ m ≤ 12.

antoniya [11.8K]3 years ago

4 0

Answer:A,C

Step-by-step explanation:

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Answer with all calculations

Sloan [31]

Answer:

Part a) The acceleration in the first 20 seconds is $0.35\ m/sec^2$

Part b) The distance between the two stops is 945 meters

Part c) The average speed during the journey is 5.9 m/sec

Step-by-step explanation:

Part a)

Let

x ---> the time in seconds

y ---> the velocity in m/sec

a ---> acceleration in m/ sec^2

we know that

The acceleration is equal to divide the velocity by the time

The acceleration is the slope of the linear equation of the graph

For the first 20 seconds

take the points

(0,0) and (20,7)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{7-0}{20-0}$

$m=\frac{7}{20}=0.35\ m/sec^2$

therefore

The acceleration in the first 20 seconds is $0.35\ m/sec^2$

Part b) we know that

Looking at the graph

The two stops of the bus are the points (0,0) and (160,0)

The stops of the bus represent the x-intercepts of the linear equation

Values of x when the value of y is equal to zero

In the context of the problem

Values of the time when the velocity of the bus is equal to zero

To find out the distance, we need to determine the area of the graph

(because the distance is equal to multiply the velocity by the time)

The area of the graph in the interval [0,160] is equal to the area of two right triangles plus the area of rectangle

$A=\frac{1}{2}(20)( 7)+(130-20)(7)+ \frac{1}{2}(160-130)(7)$

$A=70+770+105=945\ m$

Part c) we know that

The average speed is equal to divide the total distance by the total time

$\frac{945}{160}=5.9\ m/sec$

7 0

3 years ago

Isabel went to see a baseball game. The game started at 10:23 AM and ended at 2:18 PM. How long was the game?

makkiz [27]

Answer:

The complete interval of game was 3: 55 hours.

Step-by-step explanation:

the starting time of game = 10: 23 AM

The ending time of game = 2: 18 PM

So, the duration of the game interval is = 2: 18 PM - 10: 23 AM

Divide the time interval into two parts: BEFORE 12 and AFTER 12

I) The duration of the game before 12 : 00 PM

= 12: 00 PM - 10: 23 AM = 1 : 37 hours

II) The duration of the after 12 : 00 PM

= 2: 18 PM - 12: 00 PM = 2: 18 hours

So, the total interval of match = Interval before 12 + interval after 12

= 1 : 37 hours + 2: 18 hours = 3: 55 hours

Hence, the complete interval of game was 3: 55 hours.

6 0

3 years ago

Royce has $15 with him and spends $12 to buy his favorite comics. He has $3 left, which he deposits in the bank. Which number wi

Damm [24]

The value 3 will be entered. It's a positive value to indicate he is not in debt of any kind.

7 0

3 years ago

How many times does 30 go into 42?

Vanyuwa [196]

It goes in once
got it

5 0

3 years ago

Will mark brainliest meed asap !<br><br> Question 1<br> Solve – 3 = -12 using inverse operations

Brrunno [24]

Answer:

Step-by-step explanation:

First, she has to add. Second, she has to divide.

5x - 3 = 12

+ 3 + 3

——————

5x = 15

x = 3

Hope this helps!

6 0

3 years ago

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